Abstract
We consider boundary value problems for nonlinear 2mth-order eigenvalue problem
. where a ∈ C([0, 1], [0, ∞)) and a(t 0) > 0 for some t 0 ∈ [0, 1], f ∈ C([0, ∞), [0, ∞)) and f(s) > 0 for s > 0, and f 0 = ∞, where \( \mathop {\lim }\limits_{s \to 0^ + } f(s)/s \). We investigate the global structure of positive solutions by using Rabinowitz’s global bifurcation theorem.
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Supported by the NSFC (No. 10671158), the NSF of Gansu Province (No. ZS051-A25-016), NWNU-KJCXGC-03-17, the Spring-sun program (No. Z2004-1-62033), SRFDP (No. 20060736001), and the SRF for ROCS, SEM(2006 [311]).
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Ma, R., An, Y. Global structure of positive solutions for superlinear 2mth-boundary value problems. Czech Math J 60, 161–172 (2010). https://doi.org/10.1007/s10587-010-0006-6
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DOI: https://doi.org/10.1007/s10587-010-0006-6